class MeshQuality {
public:
    struct QualityMetrics {
        double aspectRatio;    // 纵横比
        double skewness;      // 扭曲度
        double jacobian;       // 雅可比值
        double orthogonality; // 正交性
        double warpage;       // 翘曲度
    };

    static QualityMetrics calculateElementMetrics(const Element& element, const std::vector<Vertex>& vertices) {
        QualityMetrics metrics;
        
        // 计算纵横比
        metrics.aspectRatio = calculateAspectRatio(element, vertices);
        // 计算扭曲度
        metrics.skewness = calculateSkewness(element, vertices);
        // 计算雅可比值
        metrics.jacobian = calculateJacobian(element, vertices);
        // 计算正交性
        metrics.orthogonality = calculateOrthogonality(element, vertices);
        // 计算翘曲度
        metrics.warpage = calculateWarpage(element, vertices);
        
        return metrics;
    }

private:
    static double calculateAspectRatio(const Element& element, const std::vector<Vertex>& vertices);
    static double calculateSkewness(const Element& element, const std::vector<Vertex>& vertices);
    static double calculateJacobian(const Element& element, const std::vector<Vertex>& vertices);
    static double calculateOrthogonality(const Element& element, const std::vector<Vertex>& vertices);
    static double calculateWarpage(const Element& element, const std::vector<Vertex>& vertices);
}; 